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Finding the Fourth Proportional to 1,423, 1,963.92 and 802

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Solution

The fourth proportional to 1,423, 1,963.92 and 802 is: 1,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423 : 1,963.92 = 802 : x
  2. Step 2: Convert to fraction form
    1,423/1,963.92 = 802/x
  3. Step 3: Cross multiply
    1,423x = 1,963.92 × 802
  4. Step 4: Simplify right side
    1,423x = 1,575,063.84
  5. Step 5: Solve for x
    x = 1,575,063.84/1,423
  6. Step 6: Final answer
    x = 1,106.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.